Author

# Sunanda Saha

Other affiliations: Dr. Hari Singh Gour University, Indian Institute of Technology Guwahati

Bio: Sunanda Saha is an academic researcher from VIT University. The author has contributed to research in topics: Wavenumber & Free surface. The author has an hindex of 3, co-authored 12 publications receiving 32 citations. Previous affiliations of Sunanda Saha include Dr. Hari Singh Gour University & Indian Institute of Technology Guwahati.

Topics: Wavenumber, Free surface, Cylinder, Eigenfunction, Dissipation

##### Papers

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TL;DR: In this paper, a hydroelastic model is considered to examine the trapped modes supported by a horizontal submerged cylinder placed in either of the layers of a two-layer fluid flowing over an elastic bottom at a finite depth.

Abstract: In this paper, a hydroelastic model is considered to examine the trapped modes supported by a horizontal submerged cylinder placed in either of the layers of a two-layer fluid flowing over an elastic bottom at a finite depth. The elastic bottom is modeled as a thin elastic plate and is based on the Euler–Bernoulli beam equation. Using multipole expansion method, an infinite system of homogenous linear equations is obtained. For a fixed geometrical configuration and a specific arrangement of a set of other parameters, the frequencies for which the value of the truncated determinant is zero are numerically computed and the trapped wavenumbers corresponding to those frequencies are obtained by using the dispersion relation. These trapped modes are compared with those for which the lower layer is of infinite depth. We also look into the effect of the variation of the elastic plate parameters on the existence of trapped modes. Significant difference is observed with respect to the existence and also in the pattern of the trapped modes between the present case and the one when the cylinder is placed in an infinite depth lower layer of a two-layer fluid.

13 citations

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TL;DR: In this article, the authors investigated the existence of trapped modes supported by a submerged horizontal circular cylinder in a two-layer fluid of finite depth bounded above by a rigid lid and below by an impermeable horizontal bottom.

10 citations

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TL;DR: In this article, the existence of trapped modes supported by a submerged horizontal circular cylinder in a two-layer fluid of finite depth bounded above by a thin ice-cover and below by an impermeable horizontal bottom is investigated.

7 citations

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01 Jan 2021TL;DR: In this article, the authors considered a backward-facing step for simulation of the blood flow by employing a few of the above-mentioned models, and performed the simulation by using the available CFD package.

Abstract: In the present work, a brief survey has been made on the Newtonian and non-Newtonian approach of blood flow in a step like stenosed artery. A comprehensive theoretical study on the relation between the shear rate and the viscosity of the fluid has been carried out in the case of each non-Newtonian model (e.g. Maxwell fluid model, Casson fluid model, Carreau model, etc.). In this paper, we have considered a backward-facing step for simulation of the blood flow by employing a few of the above-mentioned models. The simulation is performed by using the available CFD package.

6 citations

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TL;DR: In this paper , the scattering of oblique waves by a system consisting of a thin floating porous-elastic plate and a rectangular submerged porous structure is investigated, and the results of this study can be used for designing a composite breakwater or to analyze the performance of a floating breakwater in the presence of inhomogeneous bottom topography.

4 citations

##### Cited by

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TL;DR: In this paper, a hydroelastic model is considered to examine the trapped modes supported by a horizontal submerged cylinder placed in either of the layers of a two-layer fluid flowing over an elastic bottom at a finite depth.

Abstract: In this paper, a hydroelastic model is considered to examine the trapped modes supported by a horizontal submerged cylinder placed in either of the layers of a two-layer fluid flowing over an elastic bottom at a finite depth. The elastic bottom is modeled as a thin elastic plate and is based on the Euler–Bernoulli beam equation. Using multipole expansion method, an infinite system of homogenous linear equations is obtained. For a fixed geometrical configuration and a specific arrangement of a set of other parameters, the frequencies for which the value of the truncated determinant is zero are numerically computed and the trapped wavenumbers corresponding to those frequencies are obtained by using the dispersion relation. These trapped modes are compared with those for which the lower layer is of infinite depth. We also look into the effect of the variation of the elastic plate parameters on the existence of trapped modes. Significant difference is observed with respect to the existence and also in the pattern of the trapped modes between the present case and the one when the cylinder is placed in an infinite depth lower layer of a two-layer fluid.

13 citations

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TL;DR: In this paper, a hydroelastic model is considered to examine the proliferation of water waves over little deformation on a versatile seabed, where the Euler-Bernoulli beam equation is modelled as a thin large plate.

11 citations

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TL;DR: In this article, a hydrodynamic model with elasticity is considered to study oblique incident waves propagating over a small undulation on an elastic bed in a two-layer fluid, with the upper layer exposed to a free surface.

Abstract: A hydrodynamic model, with incorporation of elasticity, is considered to study oblique incident waves propagating over a small undulation on an elastic bed in a two-layer fluid, with the upper layer exposed to a free surface. Following the Euler–Bernoulli beam equation, the elastic bed is approximated as a thin elastic plate. The surface tension at the interface of the layers is completely ignored since its contribution will be minimal. While considering water waves passing over a deformable bottom, a significant change in the wave characteristics is observed due to the elasticity of the bottom which has an immense impact on the water wave kinematics and dynamics in addition to demonstrating the elastic behavior of the soil beneath. Time-harmonic waves propagate over an elastic bed with two different modes: the one corresponding to the smaller wavenumber propagates along the interface and the other one corresponding to the higher wavenumber along the free surface for any given frequency. Considering an irrotational motion in an incompressible and inviscid fluid, and applying perturbation technique, the first-order corrections to the velocity potentials are evaluated by an appropriate application of Fourier transform and, subsequently, the corresponding reflection and transmission coefficients are computed through integrals containing a shape function which depicts the bottom undulation. To validate the theory developed, one particular undulating bottom topography is taken up as an example in order to evaluate the hydrodynamic coefficients which are represented through graphs to establish the water wave energy conversion between those modes. The observation is that when the oblique wave is incident on the interface, energy transfer takes place to the free surface, but for free-surface oblique incident waves, no such energy transfer to the interface takes place because of the parameter ranges. It is noticed that reasonable changes in the elasticity of the bed have a significant impact when the propagating wave encounters a small elastic bottom undulation. Further, the values of reflection and transmission coefficients obtained for both the interfacial wave mode as well as the free-surface wave mode in the fluid are found to satisfy the important energy balance relations almost accurately. Such problems with a deformable bed, to be precise elastic here, will enable researchers to take up problems which take into account the characteristics of the infinite depth of soil beneath the bed, and the present study is expected to provide the necessary background.

11 citations

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TL;DR: In this paper, a general three-dimensional hydroelastic model is developed to study the effect of elastic bottom on surface gravity wave motion in three-dimensions under the action of uniform compressive force based on linearized theory of water wave in finite water depth.

11 citations

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TL;DR: In this article, a hydrodynamic model, with the incorporation of elasticity, is considered to study oblique incident waves propagating over a small undulation on an elastic bed in a two-layer fluid.

Abstract: A hydrodynamic model, with the incorporation of elasticity, is considered to study oblique incident waves propagating over a small undulation on an elastic bed in a two-layer fluid, where the upper...

9 citations